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(cosz-1)/(z^2(z+i)) la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Solución numérica:

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Solución

Ha introducido [src]
cos(z) - 1    
---------- = 0
 2            
z *(z + I)    
cos(z)1z2(z+i)=0\frac{\cos{\left(z \right)} - 1}{z^{2} \left(z + i\right)} = 0
Gráfica
Respuesta numérica [src]
z1 = -31.4159267089789 + 7.08667926508361e-11*i
z2 = -50.2654829031147 + 4.12365402438289e-10*i
z3 = 12.5663704261068 + 4.58936514543832e-10*i
z4 = 56.5486675979907 + 1.90760662816627e-11*i
z5 = 31.415927755569 - 6.00520479014868e-6*i
z6 = 56.5486682245297 + 3.23572771998262e-10*i
z7 = 6.2831832749691 + 1.54151077272695e-7*i
z8 = -62.8318526529431 + 1.10177549327268e-10*i
z9 = -69.1150386771798 + 4.61569646075062e-11*i
z10 = -50.2654822823863 + 2.65898847067114e-11*i
z11 = -75.3982231304022 + 1.88940201460958e-10*i
z12 = 62.8318542396735 + 9.72480214020406e-10*i
z13 = 81.681408087045 + 2.37094988735881e-9*i
z14 = -37.6991148396257 - 1.27976286340683e-6*i
z15 = 43.9822965546173 + 8.64251844112141e-10*i
z16 = -81.6814091069209 + 6.759563963521e-10*i
z17 = -69.1150378741647 + 1.50480337258584e-10*i
z18 = 100.530964758203 + 5.3707362041431e-12*i
z19 = -113.097340780045 - 2.05161002984107e-6*i
z20 = -37.69911187706 + 1.79244421513326e-12*i
z21 = -43.9822966118175 + 1.32314289730316e-9*i
z22 = -37.6991112196624 + 1.18233296873192e-9*i
z23 = -100.530966103563 + 8.37407528241766e-10*i
z24 = -94.2477794433926 + 6.72008032076513e-12*i
z25 = 62.8318535226681 + 1.76028188568234e-10*i
z26 = 50.2654824463231 + 1.06204303309018e-13*i
z27 = -75.3982224893562 + 2.78368055264914e-9*i
z28 = 25.1327440115569 + 3.25824044490823e-9*i
z29 = 43.9822972235811 + 2.26597597803527e-9*i
z30 = 18.8495556789999 + 2.73595316785215e-8*i
z31 = -87.964594358366 + 9.41710946089853e-13*i
z32 = 94.2477800348372 + 1.93293248115751e-10*i
z33 = -18.8495567242328 + 5.08538939469346e-8*i
z34 = 25.132740780633 + 7.35643091115643e-10*i
z35 = -81.6814090380658 + 6.59697611182056e-13*i
z36 = 75.3982254218484 - 1.45014503857671e-8*i
z37 = -94.2477800819327 + 1.22955128050324e-10*i
z38 = 31.4159256966989 + 1.05532930454509e-6*i
z39 = 106.814163687377 + 8.87517862808258e-7*i
z40 = -37.6991117822348 + 3.95073924916388e-9*i
z41 = -43.9822971744519 + 6.56730145314629e-13*i
z42 = -50.2654934211801 + 2.78881713013009e-6*i
z43 = 69.1150387745776 + 9.17739385045622e-11*i
z44 = -75.3982238710272 + 1.37908790806734e-11*i
z45 = -56.5486687263291 + 5.03434085606774e-9*i
z46 = 6.28317894732665 + 1.92646411604134e-6*i
z47 = -87.9645947079798 + 2.35111628745526e-10*i
z48 = -31.4159259144085 + 1.20946435885556e-9*i
z49 = 100.53096491147 + 7.17335124000131e-10*i
z50 = 75.398223993691 + 4.12067799399359e-11*i
z51 = 37.6991120249034 + 5.41027930363644e-11*i
z52 = 50.2654819603078 + 1.07649494668971e-9*i
z53 = -81.6814029891374 - 7.1159979694163e-6*i
z54 = -62.8318534581469 + 1.06577471483418e-10*i
z55 = 94.2477791750747 + 3.07045614372251e-10*i
z56 = 81.6814084479946 + 1.58537062943889e-10*i
z57 = -100.53096462006 + 1.99159950372575e-11*i
z58 = -12.5663697084503 + 4.22782692550684e-8*i
z59 = 12.5663696142194 + 2.84566756438258e-8*i
z60 = 12.5663708964239 + 6.13763586866681e-9*i
z61 = 87.9645944825659 + 5.00091008655071e-10*i
z62 = -6.28318521960696 + 6.38428018322115e-8*i
z63 = 62.8318527754357 + 5.10571620056553e-11*i
z64 = -6.28318508945006 + 2.20135638671423e-9*i
z65 = 50.2654828447835 + 6.66888037216472e-10*i
z66 = 31.4159268248056 + 2.1664718514171e-10*i
z67 = 87.9645943358115 + 3.5425421820974e-13*i
z68 = -25.1327346878918 - 5.68044486536454e-5*i
z69 = 62.8318689922039 - 9.53338341499907e-7*i
z70 = 31.4159259958217 + 7.77768041534893e-10*i
z71 = 25.1327415885929 + 6.21214200618601e-10*i
z72 = 56.5486676458326 + 2.05952548646229e-9*i
z73 = -56.5486674573416 + 6.7591708101219e-11*i
z74 = 81.6814091865302 + 1.28385328946224e-11*i
z75 = -6.28318278430483 + 2.38605661269546e-7*i
z76 = 43.9822971694095 + 4.18076056070977e-13*i
z77 = 6.28318282464029 + 8.84636451122642e-7*i
z78 = -81.6814084380236 + 2.34324656580699e-10*i
z79 = -18.8495554429551 + 1.43279804515377e-9*i
z80 = -25.1327400616026 + 1.67790291134885e-6*i
z81 = -43.9822975047909 + 9.42464168167311e-10*i
z82 = 75.398223191863 + 1.22286772249393e-10*i
z83 = -56.5486682055476 + 2.12397279673408e-10*i
z84 = 6.28318528366215 + 2.85119636121465e-11*i
z85 = -12.5663702539565 + 1.66185427849266e-9*i
z86 = 18.849555592869 + 6.49382359783024e-10*i
z87 = 69.115037971163 + 8.66617231031035e-11*i
z88 = 18.8495562990319 + 1.68855333248966e-9*i
z89 = -50.2654822302718 + 2.19856406723283e-9*i
z90 = -12.5663709400647 + 3.59262391504277e-9*i
z91 = -18.849556260163 + 1.03048815776556e-9*i
z92 = -25.1327406603031 + 1.29673398783393e-9*i
z93 = 94.2477796093521 + 6.74306336537526e-16*i
z94 = -6.28317798849555 + 2.78847378124388e-6*i
z95 = -87.9645938395268 + 3.2812310972083e-10*i
z96 = 37.6991104082555 + 5.57752894754339e-9*i
z97 = 87.9645937585349 + 2.04959856715484e-10*i
z98 = -25.1327415049632 + 3.14228670955887e-10*i
z99 = -94.2477795072458 + 6.96173469315116e-10*i
z100 = 37.6991112481152 + 8.06934869788493e-10*i
z100 = 37.6991112481152 + 8.06934869788493e-10*i